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Question 1205736: The largest sphere that will fit is placed inside a cone with base radius 𝑟
and height ℎ.
What proportion of the cone is filled by the sphere?

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1205736: The largest sphere that will fit is placed inside a cone with base radius 𝑟
and height ℎ.
What proportion of the cone is filled by the sphere?

Click here to see answer by mccravyedwin(407) About Me 

Question 1205791: A payday loan company charges a $65 fee for a $700 payday loan that will be repaid in 10 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?

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Question 1205817: Factorize ty+tz+xy+xz
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Question 1205817: Factorize ty+tz+xy+xz
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Question 1205817: Factorize ty+tz+xy+xz
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Question 1205844: The Middle Town Performing Arts Theater is planning a new show. The fixed cost is estimated to be $400,000 for the season. The variable cost is $10 per ticket. The box office has set the ticket price at $50. How many tickets does the box office have to sell before the theater can break even?
Click here to see answer by rfer(16322) About Me 
Question 1205844: The Middle Town Performing Arts Theater is planning a new show. The fixed cost is estimated to be $400,000 for the season. The variable cost is $10 per ticket. The box office has set the ticket price at $50. How many tickets does the box office have to sell before the theater can break even?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1205843: The state government has contacted HFA for an additional ten new trainee spots, which would expand the current career training program to a total of sixty trainees. The average cost of the program is approximately $6,000 per trainee at the current level of service; however, the state is willing to pay $3,000 each for the ten extra spots, keeping the reimbursement rate for the fifty existing seats unchanged. The facility has the capacity for one hundred students and the number of existing teachers can handle sixty students. Should the HFA accept this offer from the state?
Click here to see answer by ikleyn(52781) About Me 

Question 1205940: A lattice point is a point with integer coordinates.
Find, with proof, the smallest 𝑁 such that, given any set of 𝑁 lattice
points, you can find a pair of them whose midpoint is also a lattice point.

Click here to see answer by math_tutor2020(3817) About Me 

Question 1205949: If ln(5) = 1.61 then estimate ln(5.9) using differentials
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Question 1205957: You purchased a laptop computer worth PhP 28,998 by a 30% down
payment and agreed to repay the balance in 18 equal monthly payments.
There is a 0% simple interest rate on this balance.
Find the finance charge
Find the amount of monthly payments
Estimate the APR

Click here to see answer by Theo(13342) About Me 

Question 1206056: John and Musa income 5:3 John income increases by 12% John income is 5600 and the total of their income is 9600 find Musa income and indicate any change
Click here to see answer by greenestamps(13200) About Me 

Question 1206065: Ms. Burke invested 20,000 in two accounts, one yielding 7% interest and the other one yielding 11%. If she received a total of $1560 in interest at the end of the year, how much did she invest in each account?
The amount invested at 7% was
The amount invested at 11% was

Click here to see answer by greenestamps(13200) About Me 

Question 1206095: HI
Jane spent the same amount of money on 10 pens & 14 erasers. Each pen cost 20 cents more than each eraser. Find the cost of one eraser. Thanks

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Question 1206122: If a+1/3a=2 then find the value of 9a^2+1/a^2
Click here to see answer by greenestamps(13200) About Me 
Question 1206122: If a+1/3a=2 then find the value of 9a^2+1/a^2
Click here to see answer by math_tutor2020(3817) About Me 

Question 1206178:
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Question 1206172: (b) Show why the return on investment (ROI) and return on income (RI) may give conflicting investment decision responses when applied to the same set of data. Use the following data to illustrate the conflicting responses which may arise:- Additional investment of TZS. \(60,000,000,000\).- Average net profit per year: TZS. 9,000,000,000.- Cost of capital: 14 percent.- Existing capital employed: TZS \(300,000,000,000\) with ROCE 20 percentage
Click here to see answer by ikleyn(52781) About Me 

Question 1206207: Please help with the homework
Calculate the following time interval
1. From 01:08 to 06:50.

Click here to see answer by MathLover1(20849) About Me 

Question 1206210: John travelled from Durban to cape town. A bus departed at 20:45 and arrived at 10:33 am the following day.
1. How long was the journey?

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Question 1206220: You want to get a home loan for $240,000. The bank is offering a 3% interest rate for 15 years. What will your monthly payments be?

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Question 1206219: You can afford a $300 per month car payment. You've found a 5 year loan at 8% interest.
What the maximum loan could be?

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Question 1206219: You can afford a $300 per month car payment. You've found a 5 year loan at 8% interest.
What the maximum loan could be?

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Question 1206233: Kindly help with the homework
1. Mike travelled from Cape town to Durban. A bus departed at 20:45 and arrived at 10:33 am the following day. How long was the journey?

Click here to see answer by Theo(13342) About Me 
Question 1206233: Kindly help with the homework
1. Mike travelled from Cape town to Durban. A bus departed at 20:45 and arrived at 10:33 am the following day. How long was the journey?

Click here to see answer by ikleyn(52781) About Me 

Question 1206260: ou have 50000 to invest and requier an annual return of 7000. you can invest your money in bonds, which pay a return of 15% per year, or you can invest in a certificate of deposit which pays 7% per year. how much money should you invest in each to realize exactly $7000 in interest per year?
Click here to see answer by ikleyn(52781) About Me 
Question 1206260: ou have 50000 to invest and requier an annual return of 7000. you can invest your money in bonds, which pay a return of 15% per year, or you can invest in a certificate of deposit which pays 7% per year. how much money should you invest in each to realize exactly $7000 in interest per year?
Click here to see answer by greenestamps(13200) About Me 

Question 1206251: A company is considering implementing an investment opportunity in Dodoma. To identify this
opportunity, the company had spent Tshs. 60 million in Research and development. It plans to
carry out the project, which will involve spending Tshs. 800 million to pay for the acquisition of
plant and machinery. The plant and machinery will be acquired from Dar es Salaam and will have
to be shipped to Dodoma at a cost of Tshs 50 million while installation and commissioning cost is
estimated at Tshs. 150 million. The company will also incur a net working capital investment of
Tshs. 200 million, initially.
The project will have a useful life of five (5) years, at the end of which the plant and equipment
will be sold off and it is estimated to fetch Tshs. 300 million. If the project is successfully launched,
it will contribute an additional annual cash flow of Tshs. 1,200 million. The company will also
spend annually Tshs. 800 million in operating costs other than depreciation, interest and tax.
Furthermore, the project will need an injection of Tshs. 150 million as additional working capital
at the end of year 2.
The effective tax rate is 30 percent and it is not expected to change over the project’s life. Plant
and machinery will be depreciated at a rate of 25 percent using a written down value method.
(a)
Using the Net Present Value appraisal method, evaluate the plausibility of the project.
Investors in a similar project demands a return on investment of 15 percent (b) At what
rate would you change your position on the project and why?
(c)
What values would you post in the company’s books of accounts for plant and machinery
each year beginning from year zero (0)?

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Question 1194647: What is the quaternion q2 that represents the rotation of 180 degrees about the z-axis?
Click here to see answer by kilofighters(2) About Me 

Question 1206311: Suppose you want to have $600,000 for retirement in 20 years. Your account earns 10% interest.
a) How much would you need to deposit in the account each month?
$

b) How much interest will you earn?
$

Click here to see answer by MathLover1(20849) About Me 

Question 1206343: Please help with the homework.
1. Dorcas is 12 years old and her brother is 3 years older. Their Father gives them pocket money in the ratio of their ages. If he had R450.00 to give them, what will each one get?

Click here to see answer by math_tutor2020(3817) About Me 
Question 1206343: Please help with the homework.
1. Dorcas is 12 years old and her brother is 3 years older. Their Father gives them pocket money in the ratio of their ages. If he had R450.00 to give them, what will each one get?

Click here to see answer by MathTherapy(10552) About Me 
Question 1206343: Please help with the homework.
1. Dorcas is 12 years old and her brother is 3 years older. Their Father gives them pocket money in the ratio of their ages. If he had R450.00 to give them, what will each one get?

Click here to see answer by greenestamps(13200) About Me 

Question 1206352: Please help with the homework
Juice has to be mixed in the ratio 1 part concentrate to 4 parts water. If 20 litres of juice are mixed, how much concentrate and water are needed?

Click here to see answer by ikleyn(52781) About Me 

Question 1206370: Please help with the homework:
1. John is 12 years old and her sister Candice is 3 years old. Their father gives them pocket money in the ratio of their ages. If Zama gets R60, what will her sister get?

Click here to see answer by mananth(16946) About Me 

Question 1206428: Please help with the homework below:
1. Convert 01:47 minutes 54 seconds PM, in 24 hour clock.
2. Determine the amount of time left before 2:00 PM in minutes and seconds

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Question 1206479: Liam recently graduated from USF and accepted a job as a software engineer.
The starting salary is $75,000 and has a guaranteed annual pay increase of 3% each year. The equation models the increase in salary over time, where x is the number of years since he started at the company and y is his salary.
a) Describe how to determine whether the situation models exponential growth or decay.
b) What does the y-intercept represent in this situation?
c) If Liam works for the company for 30 years, determine the domain and range.

Click here to see answer by Theo(13342) About Me 

Question 1206512: Assume that your aunt sold her house on December 31, and to help close the sale she took a second mortgage in the amount of $10,000 as part of the payment. The mortgage has a quoted (or nominal) interest rate of 10%; it calls for payments every 6 months, beginning on June 30th, and is to be amortized over 10 years. Now, 1 year later, your aunt must inform the IRS and the person who bought the house about the interest that was included in the two payments made during the year. (This interest will be income to your aunt and a deduction to the buyer of the house.) To the closest dollar, what is the total amount of interest that was paid during the first year?
Click here to see answer by Theo(13342) About Me 

Question 1206514: If you make quarterly deposits of $407
into an ordinary annuity earning an annual interest rate of 6.52%
, how much will be in the account after 8
years? How much interest did you earn in those 8
years?
How much is in the account after 8
years?
How much interest was earned after
8 years?

Click here to see answer by Theo(13342) About Me 

Question 1206519: You make semiannual deposits of $398.00
into an ordinary annuity earning 6.82%
compounded semiannually.
How much money is in the account after 11
years?

How much interest did you earn in your first year?

Note: Your answers are a dollar amount and should include a dollar sign

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Question 1206518: You make semiannual deposits of $487.00 into an ordinary annuity earning 4.91% compounded semiannually
How much money is in the account after 10 years? $12384.05
How much interest did you earn in your first year?

Click here to see answer by ikleyn(52781) About Me 

Question 1206520: Bert invests 790 dollars now, and 550 dollars in 5 years. Ten years after the first investment, the accumulated value of the combined investments is 3800 dollars. What are the possible effective rates of interest? (If you find more than one, list them separated by commas.)
Answer =
percent.

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Question 1206521: Molly establishes a line of credit with a deposit of 1000 dollars. Two years later, she withdraws 600 dollars. Three years after that, she deposits 1700 dollars. Two years after that, she withdraws 550 dollars. Three years after that, she deposits 800 dollars. Fifteen years after establishing the line of credit, she makes a withdrawal of 4500 dollars that closes the account. Let
be the effective rate of interest. Set up an equation of value for this problem that would be used to solve for the possible effective rates of interest. Make the substitution x=1+i
to get an equation in the variable x
. Fill in the missing portion of this equation below:
Answer: =4500

.

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Question 1206528: A loan of $ 12,000 is to be repaid within one year with level monthly payments, due at the beginning of each month. The 12 payments equal $ 1,000 each. A finance charge of $ 632 is also due with the first payment. What is the effective annual interest rate on the loan?
Effective annual interest rate =

Click here to see answer by Theo(13342) About Me 

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